Q: What are the factor combinations of the number 7,123,831?

 A:
Positive:   1 x 712383111 x 64762113 x 54798731 x 229801143 x 49817341 x 20891403 x 176771607 x 4433
Negative: -1 x -7123831-11 x -647621-13 x -547987-31 x -229801-143 x -49817-341 x -20891-403 x -17677-1607 x -4433


How do I find the factor combinations of the number 7,123,831?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 7,123,831, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 7,123,831
-1 -7,123,831

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,123,831.

Example:
1 x 7,123,831 = 7,123,831
and
-1 x -7,123,831 = 7,123,831
Notice both answers equal 7,123,831

With that explanation out of the way, let's continue. Next, we take the number 7,123,831 and divide it by 2:

7,123,831 ÷ 2 = 3,561,915.5

If the quotient is a whole number, then 2 and 3,561,915.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,123,831
-1 -7,123,831

Now, we try dividing 7,123,831 by 3:

7,123,831 ÷ 3 = 2,374,610.3333

If the quotient is a whole number, then 3 and 2,374,610.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,123,831
-1 -7,123,831

Let's try dividing by 4:

7,123,831 ÷ 4 = 1,780,957.75

If the quotient is a whole number, then 4 and 1,780,957.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,123,831
-1 7,123,831
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11113311433414031,6074,43317,67720,89149,817229,801547,987647,6217,123,831
-1-11-13-31-143-341-403-1,607-4,433-17,677-20,891-49,817-229,801-547,987-647,621-7,123,831

More Examples

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